{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward and backward filling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                y\n",
      "ds               \n",
      "1949-01-01  112.0\n",
      "1949-02-01  118.0\n",
      "1949-03-01  132.0\n",
      "1949-04-01  129.0\n",
      "1949-05-01  121.0\n"
     ]
    }
   ],
   "source": [
    "df = pd.read_csv(\n",
    "    \"air_passengers.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")\n",
    "\n",
    "print(df.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y    0.256944\n",
       "dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# fraction of missing data\n",
    "\n",
    "df.isnull().mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward fill"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_imputed = df.ffill()\n",
    "\n",
    "df_imputed.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Backward fill method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAFNCAYAAACuWnPfAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAAsTAAALEwEAmpwYAABjoUlEQVR4nO3dd3zcV5X38c+ZUZclq9mW3CTL3U63kyg9Ib1AQiC00ElCyS7hYXkoy1IWHnaBXTpZIGUhQAIk1NBSSU+UxEp3t2Urli3J6r2N5j5/zG9k2VYZSdNkf9+v17w885vfzNz52S/p+NxzzzXnHCIiIiKSOL5ED0BERETkaKeATERERCTBFJCJiIiIJJgCMhEREZEEU0AmIiIikmAKyEREREQSTAGZiCScmf3YzL6Q6HGIiCSKqQ+ZiMSLmT0KHA8UO+f6EzwcEZGkoQyZiMSFmZUBZwEOeNMkXpcSqzHNNLoWIkcuBWQiEi/vBSqBnwHvG/mEmf3MzP6fd/9cM6s1s8+YWT3w00PfyMzeb2ZPmdkPzazdzLaY2fkjnv+AmW02s04zqzazD494rsjM/mJmbWbWYmZPmJnPe+4zZrbXe93W8Huamc/MPmtmO82s2czuNrMC77kyM3Nm9j4ze93Mmszs8yM+L9PM7jCzVm9Mnzaz2hHPzzez35lZo5ntMrOPj3juy2b2WzP7pZl1AO83s1PMbIOZdZhZg5l9e3p/LSKSDPS/LRGJl/cC3waeBSrNbJ5zrmGMc4uBAqCUsf/jeCrwW6AIuBr4vZktcc61APuBK4Bq4Gzg72b2vHPuBeBfgFpgjvc+FYAzs5XAPwEnO+f2eRk9v3fOPwNXAecAjcD3gZuBd44Yz5nASmAF8JyZ/d45txn4ElAGlAPZwN/CL/ACwT8Df/LeayHwkJltdc7d7512JXCNd/3SgX8A33PO/cLMZgHHjHF9RGQGUYZMRGLOzM4kFFzd7ZyrAnYC7xrnJUHgS865fudc7xjn7Ae+65wbdM79BtgKXA7gnPurc26nC3kMeIDQdCnAIFAClHqvfcKFimmHCAU8a8ws1Tm32zm303vNR4DPO+dqvdq3LwNvPWQK8d+dc73OuZeBlwnVygG8DfgP51yrc66WUDAXdjIwxzn3FefcgHOuGrgVeMeIc55xzv3RORf0rsUgsMzMipxzXc65ynGuo4jMEArIRCQe3gc84Jxr8h7fxSHTlododM71TfCee93Bq5JqgPkAZnapmVV6U5JtwGWEMmkA/wXsAB7wpjM/C+Cc2wF8glCwtd/Mfm1m873XlAJ/8KY524DNhAK4eSM+v37E/R5glnd/PrBnxHMj75cC88Pv6733vx7yviPPB/gQoSzcFjN73syuGO3iiMjMooBMRGLKzDIJZYnOMbN6ry7s/wDHm9nxY7wskuXfC8zMRjxeDOwzs3Tgd8B/A/Occ3mEpgkNwDnX6Zz7F+dcOaHFBZ8M14o55+5yzoWzeQ74hvfee4BLnXN5I24Zzrm9EYyzjtBUZNiiEff3ALsOed8c59xlY10L59x259w7gbne+H5rZtkRjENEkpgCMhGJtasIZZPWACd4t9XAE4TqoqZqLvBxM0s1s2u89/wbkEZo6rERCJjZpcBF4ReZ2RVmtswL5tq9sQXNbKWZvcEL6PqAXkJTpwA/Br5mZqXee8wxsysjHOfdwOfMLN/MFhCqUwt7Duj0FhNkmpnfzI4xs5PHejMze7eZzXHOBYE273BwrPNFZGZQQCYisfY+4KfOudedc/XhG/BD4NpptHJ4FlgONAFfA97qnGt2znUCHycUCLUSqlW7d8TrlgMPAV3AM8D/OOceIRTEfd17v3pCAd/nvNd8z3uPB8ysk9Bq0VMjHOdXCC0i2OV97m+BfgDn3BChxQcneM83AbcBs8d5v0uAjWbW5Y3rHePU2YnIDKHGsCIy45jZ+4HrvOnFGcXMPkooiDon0WMRkeShDJmISAyZWYmZneH1MltJqO3GHxI9LhFJLupDJiISW2nAT4AlhGq+fg38TyIHJCLJR1OWIiIiIgmmKUsRERGRBFNAJiIiIpJgM7qGrKioyJWVlSV6GCIiIiITqqqqanLOzRntuRkdkJWVlbFhw4ZED0NERERkQmZWM9ZzmrIUERERSTAFZCIiIiIJpoBMREREJMFmdA3ZaAYHB6mtraWvry/RQxlTRkYGCxcuJDU1NdFDERERkSRwxAVktbW15OTkUFZWhpklejiHcc7R3NxMbW0tS5YsSfRwREREJAkccVOWfX19FBYWJmUwBmBmFBYWJnUGT0REROLriAvIgKQNxsKSfXwiIiISX0dkQCYiIiIykyggExERERlFVU0rNz+yg6qa1ph/1hFX1J9oX/ziFykoKOATn/gEAJ///OeZO3cuN910U2IHJiIiIhGr2t3CO2+tJBB0pKX4uPO6CtaV5sfs85QhI7oR8Ac/+EF+/vOfAxAMBvn1r3/Nu9/97mm/r4iIiMTPvS/vY2DIEXQwGAhSWd0c0887ojNk//7njWza1zHuOZ19g2yp7yTowGewqjiHnIyx+4OtmZ/Ll964dszny8rKKCws5MUXX6ShoYETTzyRwsLCKX8HERERib/5eZnD91P9PirKY/u7/IgOyCLR0Rcg6EL3gy70eLyALBLXXXcdP/vZz6ivr+eDH/xgFEYpIiIi8TQ780As8OYTF8R0uhKO8IBsvExWWFVNK9feVslgIEhqio/vvePEaV/0N7/5zXzxi19kcHCQu+66a1rvJSIiIvHX2NkPwFnLi/jrq3V87vLV5E4zYTOeIzogi8S60nzuvK6CyupmKsoLoxIBp6Wlcd5555GXl4ff74/CKEVERCSemrr6yc1I4TOXrOKKHzzJT5/czU0XLI/Z5x31ARmEgrJopiKDwSCVlZXcc889UXtPERERiZ/Grn7m5KRzzILZXLhmHrc9Wc37zyg7aCozmrTKMso2bdrEsmXLOP/881m+PHaRtIiIiMROY2coIAO46fzldPYF+Ogvq2LWkyymAZmZ5ZnZb81si5ltNrPTzKzAzB40s+3en/neuWZm3zezHWb2ipmdFMuxxcqaNWuorq7mW9/6VqKHIiIiIlPU2NlP0axQQNYfCOIzeHpnM9feWhmToCzWGbLvAfc551YBxwObgc8CDzvnlgMPe48BLgWWe7cbgB/FeGwiIiIio2rqGhjOkI3sQTYwFJueZDELyMxsNnA2cDuAc27AOdcGXAnc4Z12B3CVd/9K4OcupBLIM7OSqXy2c24aI4+9ZB+fiIjI0axnIEBXf2A4IKsoLyTVHwqZ/D6LSU+yWGbIlgCNwE/N7EUzu83MsoF5zrk675x6YJ53fwGwZ8Tra71jk5KRkUFzc3PSBj3OOZqbm8nIyEj0UERERGQUTZ0DAMzxpizXleZz87WhSqr3nV4Wk55ksVxlmQKcBPyzc+5ZM/seB6YnAXDOOTObVORkZjcQmtJk8eLFhz2/cOFCamtraWxsnPLAYy0jI4OFCxcmehgiIiIyisauUA+yIi9DBnDOijkAZKfFJnSKZUBWC9Q65571Hv+WUEDWYGYlzrk6b0pyv/f8XmDRiNcv9I4dxDl3C3ALwPr16w8L5lJTU1myZEn0voWIiIgcVcJNYcMZMghtnzQ7M5WW7oGYfGbMpiydc/XAHjNb6R06H9gE3Au8zzv2PuBP3v17gfd6qy0rgPYRU5siIiIicRHOkM0dkSEDKMxOi1lAFuvGsP8M3GlmaUA18AFCQeDdZvYhoAZ4m3fu34DLgB1Aj3euiIiISFw1dfZjBgXZaQcdL8hOo7m7PyafGdOAzDn3ErB+lKfOH+VcB9wYy/GIiIiITKSxq5+CrDRS/AdPJBZkp7G7uTsmn6lO/SIiIiIjjOzSP1LhrNhNWSogExERERmhqWv0gKwgO43WnkGCwei31lJAJiIiIjLCyG2TRirITmco6GjvHYz6ZyogExEREfE458acsiyaFSryb47BtKUCMhERERFPV3+A/kDwoB5kYeFVl7GoI1NAJiIiIuIJN4Utykk77LkDAVn0W18oIBMRERHxHOjSf/ie04XZoayZpixFREREYqipy9tYfJQasvzsVABauhSQiYiIiMRMY2cfMHpAlp7iJyc9RRkyERERkVhq7OrH7zPyMlNHfb4gRs1hFZCJiIiIeEI9yNLw+WzU5wtitMG4AjIRERERT1PXwKjTlWGF2WmashQRERGJpbG69IeFMmRqeyEiIiIzWFVNKzc/soOqmtZED2VUjZ39ozaFDSvITqelewDnorufZUpU301ERERkDA9tauCGX2wAIC3Fx53XVbCuND/BozogGHQ0d4++bVJYYXYag0OOzv4AuRmjF/5PhTJkIiIiEnNDQcdX/ryJoIOgg8FAkMrq5kQP6yDtvYMMDrkJpywh+r3IFJCJiIhIzP3o0R283toDgAGpKT4qygsTO6hDNHZ5XfrHyZAVxGiDcQVkIiIiElMbdrfwnYe288bj55OflcoxC3KTbroSoKlz4oCsMEYbjCsgExERkZh5fGsjH/zZ8xRlp/G1Nx9DyexM5uZkJF0wBhFmyGK0wbiK+kVERCQmqmpaef/PniPooC8QZHtDF4WzYtPHKxrCG4uPV0MWqw3GlSETERGRmHh8WyNBrzvE0FCoiD/UWDX6fbyiobGrn7QUH7kZY+erMtP8ZKb6VdQvIiIiM8PSOdkA+OxAEX9BdnrUg5loCfcgMxt926Swghh061dAJiIiIjFR6E39XbN+0XARf+GsNLoHhugbHErw6A7X2NlP0Tj1Y2GxmHZVQCYiIiIxUd/eB8BHzlk6XMQfXqWYjHVkTV0D43bpD4vF9kkKyERERCQm6jtCAVlxbsbwsXDWrLkr+erIGjvH79IfVhiDaVcFZCIiIhIT9e195GakkJnmHz5WkKQZsqGgo7mrn93N3RPusxmesozmfpYKyERERCQm6jv6KJ6dcdCxonCn+yQr7H9ky34cULmzmWtvqxw3KCvITqM/EKRnIHp1cArIREREJCYaOvqYl3twQBarxqrT9cjW/QA4Jt5nsyAG3foVkImIiEhM1Lf3HVQ/BjArPYU0vy/pMmTh2rGRLTrGEouFCerULyIiIlEXGArS1NVPySFTlmaWlN36U3yh3mM3nb+cM5fPGXdrp1hk+RSQiYiISNQ1dvUTdDDvkIAMwm0jkisgq23tpWhWOjddsGLCc4e3T4pilk9TliIiIhJ14R5kh05ZQqj1RbK1vdjT2sOigsyIzi2YpRoyERERmQEavB5khxb1A95+lsmVIdvT0sui/KyIzs1O85OW4lNAJiIiIsmtLpwhG2XKsjA7LamK+oeCjn1tvSzMjyxDZmZRDyoVkImIiEjU1Xf0keo3CrLSDnuuYFYavYND9AwEEjCyw9V39BEIOhYVRJYhg+jXwSkgExERkahraO9jbk4GPm/14khFMSiKn449LT0AEU9ZQiggU4ZMREREktpoXfrDYtFYdTrCAVmkU5YQmnaNZtsLBWQiIiISdQ0d/WMGZIXh7ZOSpFv/ntZezGB+XuQBWUGUNxhXQCYiIiJR5ZwbtUt/WCz6eE1HbWsPJbkZpKVEHhb1BYboHhjimZ1NURmDAjIREZEZpqqmlZsf2THuBtiJ1NEXoHdwaOyAbFb0tx6ajtqWXhZOoqC/qqaVezbsAeD9P30+Kn8PMQ3IzGy3mb1qZi+Z2QbvWIGZPWhm270/873jZmbfN7MdZvaKmZ0Uy7GJiIjMRFW7W3j7T57hWw9s5drbKpMyKBvuQTbGlGVWmp/0KPfxmo49rT2Tqh+rrG5mKOgAGBwafyPySMUjQ3aec+4E59x67/FngYedc8uBh73HAJcCy73bDcCP4jA2ERGRGeUXlTUEgo6gg8FAdIKBaKsbp0s/HOjj1ZQE3fr7A0PUd/RNaoVlRXkhqf5QCOUzG3cj8kglYsrySuAO7/4dwFUjjv/chVQCeWZWkoDxiYiIJKX+wBDP7DwQgKWm+KISDERbwwQBGYS2T0qGDFldWx/OMakeZOtK87nr+gpmpfs5c1nRuBuRRyrWAZkDHjCzKjO7wTs2zzlX592vB+Z59xcAe0a8ttY7dhAzu8HMNpjZhsbGxliNW0REJOn875O7aejsJyfdz4K8DO68riIqwUC01XtTlnNz08c8pyBJuvXvaZ18ywsIBWUnLs6PWh1crAOyM51zJxGajrzRzM4e+aRzzhEK2iLmnLvFObfeObd+zpw5URyqiIhI8trf2ccP/7GdC1bP4+yVc0lP9SdlMAahgKwgO42MVP+Y5xTOim6n+6na09ILTC5DFrZyXg7b93cO15NNR0wDMufcXu/P/cAfgFOAhvBUpPfnfu/0vcCiES9f6B0TERE56v3XfVsZGAryb5evpiArjdYkCGbG0tDeN+qm4iOF9oLsJ5SbSZw9rT2k+m3c6dWxrCjOoW8wONxYdjpiFpCZWbaZ5YTvAxcBrwH3Au/zTnsf8Cfv/r3Ae73VlhVA+4ipTRERkaPWPc/v4Z6qWi47toSyomzys9No6x2MSmYmFuo7+igeZ7oSQjVkfYNBegaG4jSq0dW29jI/LxP/KFs8TWTFvBwAtjZ0TnscscyQzQOeNLOXgeeAvzrn7gO+DlxoZtuBC7zHAH8DqoEdwK3Ax2I4NhERkRmhqqaVz/z+FQDuf62eqppWCrPTcA7aepIzS9YwzrZJYcmyfdKelsm1vBhp+dxZAGyrn35AljLtdxiDc64aOH6U483A+aMcd8CNsRqPiIjITFRZ3UQ4ERbueRWud2rtGaBw1viZqHgbCARp6hqYcMqyyGsO29TVP6X6rWipbe3hgtXzJj5xFNnpKSwqyEz6DJmIiIhM06riXACMA20uCr3sUjKsUjzU/s6JW15AaC9ISGyGrGcgQFPXwLQCwpXzctje0DXtsSggExERSWKzM1MBuHrdguE2F/lZoYCsNQmnLOvbx+/SH5YMQeXe1tAKy6lOWUKojmxnYxcDgeC0xqKATEREJIntauoG4J/OWz7c5iJcf5Use0GOFO5BNlGGLBn2szzQg2waGbLiHAJBx+7m7mmNRQGZiIhIEtvd3I3fZwdlcfKzQ1mzZGx9Ec6QlUyQIctKSyEz1U9zArdPOtCDbHoZMoCt0yzsnzAgM7MzvLYVmNm7zezbZlY6rU8VERGRiOxu6mFRfubw3okA6Sl+ZqWn0NI9mMCRja6ho4/0FN/wVOt4CrIT2xx2T0sP6Sk+5kxjYUT5nGz8PmPbNAv7I8mQ/QjoMbPjgX8BdgI/n9anioiISER2NXVTVpR92PFQMJP4zbkPVd/RT/HsDMwm7utVNCuNpgQGZLWtvSzMz4xorGNJT/FTVpgV+wwZEPBaUlwJ/NA5dzOQM61PFRERkQk556hp7qas8PCALD87jZae5MuQ7WgIbSVUVdM64bmJDiq3NnQQdEQ01vGsLM5h+/7prbSMJCDrNLPPAe8G/mpmPmDiPKSIiIhMS2NXP90DQ5QVHl50XpiEGbKqmla21HdS29rLtbdVThjoFGSnJ2yV5XO7mtnV1MOupu6IxjqeFfNy2N3cTd/g1HcdiCQgezvQD3zIOVdPaI/J/5ryJ4qIiCSBqppWbn5kx7SzI7G0uym0CnC0Kcv8rDRak6yG7OmdTYQ3cxoMhJrYjqdoVhrN3QMJ2c/y2w9uG74fyVjHs3JeDs7Bjmlkycbt1G9mfuBXzrnzwsecc6+jGjIREZlhqmpaqaxupqK8kKFgkHff/hyBoSBpKb7h/l7JZrfX8mLJqDVkqTQnWYas1MvkjWxiO56C7DQGAkG6+gPkZMRv8u2pHU1UVrfgNwNcRGMdz4riAystj1kwe0rvMW5A5pwbMrOgmc12zrVP6RNEREQSrKqmlXfdWslAIIgZ+M0Y9PYjCmdHkjEg29XcTYrPWJB3eFuGguzQ5ty9A0NkpvkTMLrDZaSExnFtRSlvPnHBhNc0vO3T9x/eziXHlMTl76Cpq59P/OYlls7J5qtXHsOLe9qoKC+c1meXFmSR5vdNa6VlJHtZdgGvmtmDwHDXM+fcx6f8qSIiInFUWd1Mv9dJ3TkoL8piZ1M3zkWWyUmUmuZuFhdkkeI/vMKowOtF1tzdz8K0xO0FOVK1l9H79CUryY0g4xXuo3b7k7v4RWVNzDOVG3a38H9/+wqtPQP8/IOnsLokl9OXFU37fVP8PkryMnhgUwMXrS2e0neIpIbs98AXgMeBqhE3ERGRGaGivJBwY4OMVB/feOvxvHXdQgz4+QdPScrsGMCupp7hacBDhfeCTKY6sp37u5iTkx5RMAYHOuUH3fTruCZSVdPKO26pDO184KBnYOoF+KO9956W6S0QmDAgc87dAdwNVDrn7gjfpjBeERGRhFg6JxsHnLNiznAW5uSyAhwwb4ItfhJluOXFKPVjcCBD1pJE+1nubOxi6ZzRxzuaC9fMAyKvOZuOyuomAt40tXMuqsFfZXUz4XUJUw0sI+nU/0bgJeA+7/EJZnbvpD9JREQkQTbVdQDwoTOXDGfDFnn7F4a3z0k2+zv76RkYGrWgHxjeYDxZWl8459jZ2E35nFkRv+as5XPIzUjh2AWzYz5dWV4UGlcsgr+K8kJS/KEcbIp/au8dyZTll4FTgDYA59xLQPmkP0lERCRBNu0LBWSrS3KHj4X3L6z1ps2STXhT8dGawgIUelOWybJ9Ukv3AO29gyydREAGsHxeDplp/phPG4eb8V9bURr14G9daT5fuGINAJ+9ZFXMasgGR1lhGZz0J4mIiCTIproO5uakMyfnwJ6FxbkZ+H02XMeUbGqax255AZCTkYLfZ0mTIdvZGBrvZKYsIdQqo6Y59n8HG/d14PcZ/3b56pgEf+eumAtAdkYk6yUPF0lAttHM3gX4zWy5mf0AeHpKnyYiIpIAm/Z1sGZ+7kHHUvw+5udlJO2U5a6mHlL9Rsns0WvcfD4jPystaTJk1Y2hpqiTzZAtKcymvqOP3igW2Y9m474Ols7JJiM1Ni1C5s0OBft1bX1Ten0kAdk/A2sJdev/FdABfGJKnyYiIhJn/YEhduzvYk1J7mHPLcrPStopy91N3Swao+VFWEF2ahJlyLpIT/Exf5SeaeMJL1rY3dw9wZnTs3FfO2vnT61payTSU/wUzUqnrn1qAX4kqyx7nHOfd86d7Jxb792fWvgnIiISZ9sbuggE3WEZMggFZHtakzNDtru5myVj1I+FFWQnz/ZJOxu7WVKUjd9nE588QnhKNrwrQSw0dfXT0NHP2lH+DUTT/LwM9rVPLUSacKLTzP4MHLrJVDuwAfiJgjMREUlmm70VlqNlyBbmZ9LY2U/f4FDMprKmIhh07G7u5owJmpYWZKexrWHq+ydGU3Vj15QyUOEM2a4YZsg2eos6YpkhAyiZnTFcSzdZkUxZVhPq1n+rd+sAOoEV3mMREZGktamug8xUP6WjZJsWFYRaXyTbtOX+zn76BoNj9iALC9WQJb4PWX9giNdbeiZd0A8wKz2FolnpMc2QvbY3tDZxtCxpNJXMzqSurXdKm6VHshTgdOfcySMe/9nMnnfOnWxmGyf9iSIiInG0aV8Hq0pyRp1KC7e+2NPay7K5OfEe2pgOtLwYf0ukwuw02noGGAq6SU8VRlNNcw9BB0vnTq6gP2xJURa7Y7jSctO+DhYVZDI7M7YbmM/Py6B7YIiOvsCkPyuSDNksM1scfuDdD1/xxIflIiIiY3DOsamuY9TpSoCFXnPY2pbkypCFC9zH6kEWlp+dRtBBe29i68jCKyzDzVcnq7QwO6YZso372llbEtvpSghlyIApFfZHEpD9C/CkmT1iZo8CTwCfMrNsQFsoiYhI0qpt7aWzLzDmVNWcWemkpfiSrrC/sroZvxn1HeOXaRdkh7v1JzY/Eq6bKp/ClCWECvv3d/bT3R+I5rAA6OwbZHdzT8wL+iGUIYOptb6IZJXl34DlhFpd3ASsdM791TnX7Zz77qQ/UUREJE42jVPQD6FeXgvzM9mTRBmyqppW/vzyPoac4z23PzvuRtVJE5Dt76JkdgbZ6VNrihrOBMai9cXmuk4A1i6IfUAWzpDtGyVDVlXTin9WYfFYr40kQwawjlAvsuOBt5nZeyc/TBERkfjatK8Dn8Gq4rF/GYd6kSVPhqyyuplghBtVJ01A1tQ95ewYQFlRaOp4d1P0A+ON+0IF/bFeYQkwNycdnx2eIauqaeWdt1Tiz85fMNZrI2l78QtgKaENxsNtdB3w8ymPWEREJA421XWwpCibzLSxW1oszM/k5dq2+A1qAuGNqSPZBDsckLX2JC4gc85Rvb+LN580ZqwxoVhmyDbu66BoVhpzR2ybFSspfh/zcjMOy5BVVjczMBQM/aWO9doI3n89sMZNZQ2niIhIAm3a18FJE+xbuKggi7aeQTr7BsnJiO0qvEiEa53OWFbE/7lwxbj7LuZnJT5D1tjVT2d/YNJbJo2UnZ7C3JzYtL7YuK+DNfNnYxafVajz8zIPy5ANB9XjxFKRTFm+Bow55ykiIpKM2nsG2dvWO2b9WNgib6VlsuxpWe91er/qxAUTboKdkeonO82f0IBs5/7pFfSHlRVmRz1D1h8YYntDJ8fEoaA/rGR2xmGrLMPtVYa62/aN9bpIArIiYJOZ3W9m94Zv0xmsiIhIrP3xpb0ApKWMnxlZmB/6ZZkszWHD013zx9hU/FD52YltDrtzipuKH6qsKItdUa4hC2+bFY/6sbD5eZnUtfcdlAwL7xQw1NVcP9brIpmy/PJ0ByciIhJPVTWtfPUvmwD45n1bOWFR/pjZpnC3/mRpfRGe7iqOMCArTHBAVrmzmVS/sa+td9Ibi49UVpRNU1dtVKeODxT0xzdD1h8I0tI9QOGsUN3aJi8gG08kbS8eA3YDqd7954EXpjVaERGRGKqsbibgLVUMDI2/UjE/K5XsNH/StL4I9x4Lt1CYSCIzZFU1rfzttToGhxzvnqBFx0TCG6nXRLFj/6NbG0nz+2jq6o/ae07kQHPYA3VkG/e1s7hg/F0XJgzIzOx64LfAT7xDC4A/Tm2YIiIisVdRXkh4J6GJViqaGQuTqPXFvrZe8rNSx10ZOlJBAvezfGpHU8QtOiYyvMn4JAr7q3a38MN/bB81EKyqaeW+jfUMDAWnHSxORrg57L62A/+eNu7rmDBLF0kN2Y3AGYQ2Fcc5tx2YO8VxioiIxNy60nyKZ2ewYt4s7ryuYsLi+EUFmUlTQ1bf3kdxhNkxCLW+SFTbi8zUUNDos4kD34mUDWfIIgvIqmpaedtPKvnvB7Zx7W2VhwVcj27dj4tSsDgZh2bIOvoGqYlgp4BIArJ+59zw37SZpRDqQyYiIpKUnHO0dA9w9vI5EwZjENrTck9Lz3hdCeJmX3tfxAX9EJqy7BkYom9waOKTo2xLfSdZaX4+ccGKiALf8WSm+SnOzYi4sP8Xz+xmyPv7Ghgl4Erxh0KcaASLk1GYnUaa3ze8OGOzVz+2dsH4CwsiKep/zMz+Fcg0swuBjwF/ntZoRUREYqile4C+wWDEReaLCrLoHhiitWdwuNlqotS197KuNC/i8wtHdOufTlH9ZA0EgjywqZ7Lji3h4+cvj8p7lhZmRdT6orV7gEe2NmKEMkQ+s8MCrprmbnLS/Xz4nKWctrRoWsHiZPh8RvHsjOHFGeEVltHIkH0WaAReBT4M/A34t2mMVUREJKb2evU7C/IjC1CSpfVF78AQbT2DERf0QyhDBvFvDvvkjkY6+wJcfmxJ1N5zSVF2RM1hv3TvRnoGAvz3NcezIC+DBfmZBwVcwaDjsa2NvGH1PP7pDcvjFoyFlczOGK4he21fO3Ny0pmbM37WM5JVlkHn3K3OuWuAG4Bn1bVfRESS2V6vQH9BpBmyJGkOG24oWjKJKcvCGAdkVTWt3PzIjsNqtP7ySh25GSmcsawoap+V6vfR3D3AE9sbxxzLTb96kXtf3sfH37Cct6xbyPtOL6OmueegVbKv7m2nuXuA81YmpuQ93IsMQi0vImm7Eckqy0fNLNfMCoAq4FYz+06kgzIzv5m9aGZ/8R4vMbNnzWyHmf3GzNK84+ne4x3e82WRfoaIiMhI4QzZwkgzZF4n9bs37InbarzRhH+JR9qDDA5kyH7zfPTHXlXTyjtueYb/vn/rQYXz/YEhHtzYwMVri0lLiWSyLbLP+vXzrwPwoTs2HPZdqmpaedetlfzp5X2YwanlBQBcuCa0mdBDmxuGz310ayNmcPaKOVEZ22SVzM6gvqOP3oEhtu/vik5ABsx2znUAVwM/d86dCpw/iXHdBGwe8fgbwHecc8uAVuBD3vEPAa3e8e9454mIiEza3rZestL8zM6MrMHo9oZQt/nHtjWOumIvXsIB2fxJTFmGM0N/e7Uu6mOvrG5mcMjhgP7BA4XzT2xrorM/wOXHRW+6srK6mSGvh8ZoqyIrq5sZCASB0B7dz+8Ofc8lRdksnzuLBzcdCMge2bqf4xfmJawesCQvk6Gg48kdTQxFuFNAJAFZipmVAG8D/jKZAZnZQuBy4DbvsQFvINTXDOAO4Crv/pXeY7znz7d47QQqIiJHlL2tvSzIy4x4Q+mRv/zj2SLhUHVeZm8yGbJwN3pH9MdeUV5I+Ao6wO81d/vrq3XMzkyN6nRlRXnhcLbN5zu8SL+ivJDwX2faIasmL1wzj2d3tdDWM0BzVz8v17YlbLoSDmx79ZAXJEYrQ/YV4H5gh3PueTMrB7ZHOKbvAp8Ggt7jQqDNORfwHtcSajSL9+ceAO/5du98ERGRSdnb1htxQT9MrpFsLO1r76MgO42M1MiawgJUlBcNByrRHvtJi/PITPVz3ILZLJ2TzQ//sYPX9rbz4KYGLllbTKo/OtOVEOodd+d1FRTPzmBNSc5hhfjrSvOZnZnK2pLcw1psXLhmHkNBxyNb9/PE9iacg/NWJWa6Eg70Int4SwM56SnDNYrjiaSo/x7n3HHOuY95j6udc2+Z6HVmdgWw3zlXNeEoJsHMbjCzDWa2obFx9KI/ERE5uu1t6424oB9Cv+yvPmkBBtzxgVPiviovrL69d1IF/RAa+wWr55Ge4uPOD50a1bF39AboGRziTSfM5xcfOpWMVB/X/PgZuvoDrCie3mbio1lXms+5K+ZQ29p7WE+45q5+WnsGefNJCw77jscvzGNuTjoPbmrgka37KZqVxjFx3FD8UOFu/U1dA6yen4vPN3GmNpKi/m96Rf2pZvawmTWa2bsjGM8ZwJvMbDfwa0JTld8D8rzmsgALgb3e/b3AIu8zU4DZwGF5V+fcLc659c659XPmJC76FRGR5NTdH6CtZ3DSPbkqyotwwJyc9NgMLAJ17X2TankRdvbyIvoDQeZPIisYiT1eG5CF+ZnMz8vkE+evoNdrQPtf92+NSa3dquIcWnsGaew8eP/JzXWdAKwpOXz6z+czLlgzj0e3NvLYtkbOXjEnoiAoVmZnpg7vYhDpxuaR5Bov8or6ryC0yfgy4P9O9CLn3Oeccwudc2XAO4B/OOeuBR4B3uqd9j7gT979e73HeM//Q+01RERksvZNcoVl2JKi0LRSNDe3nqx9bZPPkAGs8oKULV7QEi21wwFZ6Nq09w0OT+3GqtYu/F021x/8XTbVhWrlVo8SkEFo2rLH6+NW6m3DlChmRomXJYukoB8iLOr3/rwcuMc51z6l0R3wGeCTZraDUI3Y7d7x24FC7/gnCTWkFRERmZTatsn1IAsL/xKPpFN8LHT3B+joCwz/Ip+MlcU5AGyu74jqmMIbroeD23DhvT+G2xGt8r7LlrqDv8umfR3Mn50x3ObjUJmpB0Ka/xmlb1q8zUoLhU+RJuoi2TrpL2a2BegFPmpmc4C+yQzKOfco8Kh3vxo4ZZRz+oBrJvO+IiIihxpuCjvJDFlhdhqz0lMSliGbSsuLsNyMVBbkZcYgQ9bLrPSU4fYh4cL7yupmKsoLY1Jrl5eVRnFuBlsPy5B1sGac6b+qmrbh+4GhUPYuUbWAVTWtw1sm/esfXqW0MHvCsUwYkDnnPmtm3wTanXNDZtZNqEWFiIhI0tnX1kuKzybcquZQZhbxXoqxEO7SP5mWFyOtKs5hS9QzZD0szD+4fci60vyYBzqrSnIOmrLsGxxiZ2M3F68tHvM1FeWFZKT6GAwEE7pSFkJtVELd2w5M7U47IPPMBy4ws5H/Sn4+pVGKiIjE0N62XopnZwz3zJqMssLs4b5e8TadDBmEgpjHtjXSHxgiPSXythnjqW3tHa4fi6dVxbk8taOawaEgqX4f2xo6GQq6UQv6w+KRvYtUeGp3MsHhhAGZmX0JOBdYQ2hj8UuBJ1FAJiIiSSjcFHYqSguzuH9j/XAgEE91baGAbN7sqa3yXFWcSyDo2Lm/e9ypvUg559jT0pOQTNPqkhwGhxzVjd2sLM5hkzf9N9H3ikf2LhJTCQ4j+df2VkJbJdU75z4AHE+oJYWIiEjSmWxT2JHKirIJBN3wSs14qmvvpWhW2pSzW6tLvGL4KE1btvUM0j0wNOnVqtGwqthbNep9l011HcyKsMFqslhXms+N5y2LOECMJCDrdc4FgYCZ5QL78fqFiYiIJJPBoSANHX0snGKGrGx4pWX8C/un2oMsrKwwm7QUH1vqo1PYH15huagg/kFQ+ZxsUv02/F027etgdUlOQnuLxVokAdkGM8sDbgWqgBeAZ2I5KBERkamob+8j6Jh0U9iwssJwL7L4F/bXTaFL/0gpfh/L585ic110MmS1I5rCxluq38fSObPYUtdBMOjYXNcxbv3YkSCSVZYf8+7+2MzuA3Kdc6/EdlgiIiKTt7dtai0vwubkpJOZ6md3UwIyZG19nDbNeq1Vxbk8sT062woe6EGWmGnC1SW5VFY383pLD90DQ1Gpi0tmEVUsmtnVZvZt4J+BpbEdkoiIyNQM9yCbYoYsUa0vOvsG6ewPUDLFcYetLslhf2c/zV39E588gT2tPeRkHOhBFm+rinOoa+/jGW83gDUlR3b5eiR7Wf4P8BHgVeA14MNmdnOsByYiIjJZ4QzZVKcsIVSLFe+ArN5reTGdKUs4UAx/aFPVqaht7U1oEX14C6U/vLAXv89YPi/6m5knk0j6kL0BWB3eV9LM7gA2xnRUIiIiU7CvLbRSMSN16n24yoqyeXhLA0NBN6VeZlOxbzggm16GbFVJeAulTk5fVjSt96pt7Rle5JAI4S2Untvdwsp5OdP6O50JIpmy3AEsHvF4kXdMREQkqextm3oPsrCywiwGh+Lb+qLe69I/3QxZ0ax0imalH7YP5GQ55xLWFDZsbk46+Vmh6dIjvX4MIgvIcoDNZvaomT0CbAJyzexeM7s3tsMTERGJ3N7WqfcgCwtvMh7NPS2ralq5eZwNr8PHoxEErirOYWvD9KYsW3sG6UlQD7IwMxsOrnMzIt1YaOaK5Bt+MeajEBERmSbnHHvbejl/9dxpvU9ZUSgrtLu5mzOXT2/aD0LB1rturWRgKEh6io87r6s4qFloVU0rv62qBeB9P33usOcna1VxDr+orIl4yrWqpvWwjvJ7WkLBaCJ6kI0cV3g/y189t4c3nbAgKbrwx0okbS8ei8dAREREpqOpa4D+QHBaBf0A83IySE/xsbspOoX9ldXNDASCOGBglI2m799YTzC0D3XEG1GPZ1VJLv2BIP/xt81cdmzJuO81HCwGgqSnHggWD7S8SFyGrLK6maB3YYaC078uyS6+G3WJiIhM0UTTfuHpvunWkPl85q20jM6UZUV5IeYlqpyDk8sODirC9V5+I+KNqMfjrcHjf5/cxbW3VY55vWD0YBEONIWd7vTvdFSUF5Ke6ovadUl2R/6krIiIzHhVNa1ce2sl/QFv2u/6w6f1wg1RO/oGp/15pYVZ7IpShmxdaT5zc9Lp6g/Q1T/E5rpOTlkSCi427evgiR1NXHXCApbPmxXxRtTjCQemjokzbqcuKcCNeBwOempbe5mdmUpuRmJ6kMHUNuieycbMkJnZw96f34jfcERERA5XWd1Mv5fJ6QsEeXzbwd3on9vVzLcf3AbA5//w2rhZoUiUFWVT09IzPGU2HV39Aeo7+rnh7KWcsayQbz+4jdbuAQC+ef8WcjNS+fc3rZ3URtTjOXP5HMKVYxNllgLe95szK42gg4LsNCCUIUvkdGXYZDfonsnGm7IsMbPTgTeZ2YlmdtLIW7wGKCIiUlFeeFCB+n0b6+n0MmFd/QE+/btXh+uwAkMHpt6mqrQwi4FAkPqOvmm9D8DW+tCU5OqSXL5wxRo6+wb57kPbeGZnM49ubeRj5y5ldlb0MlHrSvNZV5pP0ay0CRcI3PvyPjJT/fzuo2eQ5vfxv0/uAmBPgpvCHo3Gm7L8IvAFYCHw7UOec4QaxoqIiMTcutJ8zl5RRGV1C/903lK+/eB23vKjpzlzeREPb97PnpYeUv1GMOiiUm8Uboi6u6l72osENtWFVgquLslhYX4W7zp1Mb+orOHeV/ZRmJ3G+04vm9b7j+bkJQW8XNvGcQvH3m5oIBDkb6/WcdHaeSwuzOLKE+ZzT9UePnnhCmpbezh3xZyoj0vGNmZA5pz7LfBbM/uCc+6rcRyTiIjIYbr6hjhm/mw+dt5ywPjm/VvZ1tAFwBeuWM0Ji/KjVm9UWhjKDv3s6d2kp/qn9X6b6zrIzUgZXmxw/up5/LLydVq7B0n1Gxv3dUR9Sm753FkMDjlqmntYNnf0LYee2N5IW88gV54wH4DrzirnnqpavvfwdvoGg0kxZXk0mXCVpXPuq2b2JjP7b+92RTwGJiIiMlJ1U/dwjzAHw3VSPoO+wWBU643Ce0s+uKlhwpWKE9lc18GqklzMW2q5aV/H8NiDQTft6dXRLJ8b2nZox/6xG8Te+/I+8rJSOXNZKBO2sjiHs5YX8YvKGoCEduk/GkWyufh/AjcR6tC/CbjJzP4j1gMTEREJ6+wbpKmrnyVFoWzPyJYIaTFoifDsrhbg4JWKUxEMOrbWd7Km5MDWP/Fo57B0bmjKdbuXQTxUz0CABzY2cNmxJaSlHAgFrj+rnCGvGK+zLxD1ccnYIml7cTlwgnMuCMObi78I/GssByYiIhK2uynUF2uJlyGLdUuEivJC/GYMuchr0kbreP96Sw89A0Os9jb9jsfYAbLSUliYn8n2/aMHZA9t3k/v4BBvOn7+Qcez0/wYoUD0c79/hcWFWUfFCsdkEGkfsjygxbs/doWgiIhIDOxqDvUEC2fI4MBqwlhYV5rPB88s49YndvG9d5w47ucEhoJ8/+Ht/PCRHUAoYxde3bi57sAKy0PfP9aBzvK5s0YNyKpqWvneQ9soyErjlLKCg56r3NWCWaiB7eDQkd8dP5lEEpD9J/Cit7G4AWcDn43pqEREREbY1RgKyMLF9vFwyTEl3PrELmyM55/b1cxPn9rNi6+3Ut/RP3x8ZDPWzXUd+AxWzMsZ411iZ/m8HJ7a2XzQnpbhrZL6A0H8PuPFPW0HBVwV5YWkpfgYDASPiu74ySSSvSx/ZWaPAid7hz7jnKuP6ahERERG2N3czYK8TDJS/XH7zNUlOZjBxn0dXLS2+KDnntjeyHtvf254ccG1py7mV8+9TtAdXBe2qa6TJUXZcR132LK5sxgIBNnT0kNZUaimLLxVEoS2WDo0A3a0dcdPJhFNWTrn6oB7YzwWERGRUY1cYRkvWWkplBdls3Ffx2HP3bOhdnjLIZ/B/LxMPnruUm5+ZCdfvGLtcCCzua6DExfnxW/QIyz32l1s3981HJCF99V0buzFEPGYTpXDaXNxERFJas45djV2scQLKuJp7fzZbNrXftjx/sAQcPCG4B85ZykZqT421YXOb+8dZG9b72H1Y/GybDggO9D64pgFuaT6fRy/cPaEXfwlvhSQiYhIUmvtGaSjLzDcPT+e1s7PZV97Hy3e3pNh2xu6WFeazycvWjkc2ORkpHLx2mL+/HId/YEhttaHAqE1CQrIcjJSKZmdwY4RrS8qq1voDwS56YLlCsaSzLgBmZn5zWxLvAYjIiJyqF1NoYL+8jmJyZABbByRJatr76W6qZtLjyk+rBHtm09cQHvvII9s2T/mCst4WjZ3FttGZMj+sbmBjFQfpy8tStiYZHTjBmTOuSFgq5ktjtN4REREDhIOyBKVIQMOqiN7ekeoSexoQc2Zy4qYk5PO71/Yy+a6DvKzUpmXmx6fwY5i+dwcduzvIhh0OOd4eMt+zlxWlJBFBjK+SIr684GNZvYc0B0+6Jx7U8xGJSIi4tnd1I3fZywqiP9WPvnZaSzIyzwoIHtqZxMF2WmsKj68lUWK38dVJ8znZ0/vZmF+FqtHbJmUCMvnzaJvMMjetl56Boaobe3lY+cuS9h4ZGyRBGRfiPkoRERExrCrqZtF+Zmk+hNT9rxmfu7wlKVzjmd2NnNaeSE+3+iB1tUnLeTWJ3axq6mb81bOjedQD7N8RGH/Fq+m7Q2rEjsmGV0km4s/BuwGUr37zwMvxHhcIiIiQCggS8QKy7C183PZ1dRNd3+AXU3d1LX3cfqysRumri7JpdTL5mWmJXbtXHiT8e0NXfxj836OWZBL8eyMhI5JRhfJ5uLXA78FfuIdWgD8MYZjEhGRo1RVTSs3P7KDqppWIJSR2t3cPdxHKxHWzp+Nc7ClvoOnd45dPxZWVdPK3rZeAG57Ytfwd0mE2VmpzM1J57ldLbzweitvWDUvYWOR8UUyZXkjcArwLIBzbruZKd8pIiJR9czOJt5z+3MEnRveD3JhfiY9A0OUJzhDBqHC/srqZubPzqBsnC2cKqubCbpQ29hAEuwHuXzeLB7esh+AC1br13eyiiSX2u+cG27AYmYpMNygWEREZNoCQ0G+8KeNBIKOoDuwH2S1t4dlIjNkJbMzyM9K5dXa9lD92NKicQv1w/tBjmwam0jhacs5Oekc47XxkOQTSYbsMTP7VyDTzC4EPgb8ObbDEhGRo4Vzji/eu5Ed+7vwGQQd+HxGRXkh2xpCheiJrCEzM9bOn819G+vp7Atwxjj1Y5B8+0GGO/YX52Yctpm4JI9IMmSfBRqBV4EPA38D/i2WgxIRibUtv7+fZ67/FFt+f3/cHyfys5NtbFU1rbzn9ue469nX+ei5S7n7w6cxLzed3IxUVpfksKupm7QUH/NnZ07r73u61s7PpbMvAIxfPxa2rjT/sKaxiZLiD2XzXtvbzrW3VSa0pk3GZs5NPPtoZmnAKkJTlVtHTmEm0vr1692GDRsSPQwRmWG2/P5+lr31MvwuSNCMluLFFNS/js+52D8GDMOIw2cl6djMOfpT0vjFV2/nmx0FBIIOvxl3f7iCdWUFPL+7hWt+/Aw3nb+cTXUd1DR388D/OSeh/2bufXkfH//Vi+Rnp3Lbe09OikArUjc/soNvPbCVoAvtvfnJi1Zy43nqRZYIZlblnFs/2nORrLK8HNgJfB/4IbDDzC6N4HUZZvacmb1sZhvN7N+940vM7Fkz22Fmv/GCPcws3Xu8w3u+bBLfUUSOQoeuyItU698fxOeCGOBzjtSWZnzOxecxYMTps5J0bD4gdShA298fJBAMJwUclbtaADi5rIArjivhJ4/v5OU9bQnp0H+40DhbuwdnXJYp2WraZHSRTFl+CzjPOXeuc+4c4DzgOxG8rh94g3PueOAE4BIzqwC+AXzHObcMaAU+5J3/IaDVO/4d7zwRkVFV1bTyzlsq+dYDWyf9CzL/0gvpT0kjYD76UtJ49sOfoi9Ojwf8KQz4UxPy2ck0tkF/CguuumTMQOFzl63GOdjf2U9b70DCA6DXm3sIl/GHFxzMFOGatpEboUvyiaSov9M5t2PE42qgc6yTw1xoLjS8xXyqd3PAG4B3ecfvAL4M/Ai40rsPob5nPzQzc5HMqYrIUecvr+xjYCgIHPgFGekvmlVXX8wnb/wOK7ZUce4Nb+Piqy9myzkVtP79QfIvvTDmj4G4fVYyj+3aqy9mVU3rqMXvC/IyedMJ87lnQy3P72rl2tsqExpMnLa0iPTUHQwGgjMyy7SuNF+BWJIbs4bMzK727l4IlAJ3EwqorgFed859bMI3N/MDVcAy4Gbgv4BKLwuGmS0C/u6cO8bMXgMucc7Ves/tBE51zjUd8p43ADcALF68eF1NTc3kvrGIHBG+8ffN/OixaoCD6o8ide5/PcIxC2bzw3edFKshyjR976FtfPeh7TiSo/apaozgUSRSU60he6N3ywAagHOAcwmtuIxouYtzbsg5dwKwkFBz2VURj3rs97zFObfeObd+zpw50307EZmh2noHyU7zU1FewJBzPLa9aeIXeZxzNHT0My9XW8gkszOXzyE9NXlqn5Jp5aQcecacsnTOfSBaH+KcazOzR4DTgDwzS3HOBQgFanu90/YCi4Bar/nsbGDmTNKLSFy9+Hob68oKuOMDJ/OZ373C9x/eTv/gELmZqRNmMDr6AvQODlGsgCypJVs/L5FYmrCGzMyWAP8MlI083zn3pgleNwcY9IKxTEJTn98AHgHeCvwaeB/wJ+8l93qPn/Ge/4fqx0RkND0DAbY1dHLRmnmYGV9787Hs2N/FTx6vxmcMb7sz1i/who4+AOZpk+Wkp9onOVpEUtT/R+B2Qt35g5N47xLgDq+OzAfc7Zz7i5ltAn5tZv8PeNF7b7w/f2FmO4AW4B2T+CwROYq8treDoIMTFucBkOoPTWe98HrbQdvujPWLvL49FJApQyYiySKSgKzPOff9yb6xc+4V4MRRjlcTqic79HgfoQUDIiLjenlPGwDHLcwbPnb+6nn86NGdOCauNxrOkOWmx3CUIiKRi6QP2ffM7EtmdpqZnRS+xXxkIiJjeGlPGwvzMymadSCgWleazxtWzSU9xccvP3TquNNcBwIyZchEJDlEkiE7FngPof5h4SnLcD8xEZG4e2lP2/B05UiXHlvCw1v2Mytj/B9t9R195GWlkpHqj9EIRUQmJ5KA7BqgPFn2rxSRo1tjZz9723r5wBllhz13iteH7Pndrawqzh3zPerb+1U/JiJJJZIpy9eAvBiPQ0QkIuH6seMX5R323KKCTObmpPO8tyfiWPZ39mm6UkSSSiQZsjxgi5k9T2h/SmDithciIrHwcm0bfp+xdv7hGTAz4+QlBWzYPX5AVt/ex6rinFgNUURk0iIJyL4U81GIiETopT1trJiXQ1ba6D++Tikr4K+v1FHb2sPC/KzDng8MBWnq0pSliCSXCQMy59xj8RiIiCSHZN6vzznHy3vauPy4kjHPWV8WGvPzu1tGDcgau/oJOjWFFZHkEkmn/k5CqyoB0oBUoNs5N3bFrIjMSA9ubODDv9wATNztPhF2NXXT0RfghFHqx8JWFeeSk57C87tbefOJCw97Xk1hRSQZTVjU75zLcc7legFYJvAW4H9iPjIRiav69j4+/buXCToO6nafTF6ubQNGL+gP8/uMdWX5Yxb2N3SESmFV1C8iySSSVZbDXMgfgYtjMxwRSYS69l7eccsz9A0GMe/YRN3uE+HlPe1kpflZPnf8gvyTywrYvr+L1u7Du/WoKayIJKMJAzIzu3rE7a1m9nWgLw5jE5E4uH9jPZd+7wkaOvr55XWn8rb1iwC45T3rk2q6EuCpHU0UZKfxktf6Yiwne/3INtS0HvZcfUcfqX6jMDstFkMUEZmSSDJkbxxxuxjoBK6M5aBEJD6e393CR35RRVvPIEMuVCr6phPmAxB0bryXxl1ldRPb93ext7WXa2+rpGqUYCvsuIWzSfP7eH6U9hcN7X3MzcnA57NRXikikhiR1JB9YMTteufc15xz++MxOBGJrd88//rwip2hoVDN2AmL8vD7bNyAJxH+8MJeILTCaKL6toxUP+Vzsvnzy/sO+x4NnX3aVFxEks6YqyzN7IvjvM45574ag/GISBztbe0FwG8Hasay01NYXZLDht3JFZANDoVCx5FjHUtVTSs79ncRCDquvbWSO68/sFq0vr2PFfPUFFZEkst4bS+6RzmWDXwIKAQUkInMYC3dA2yoaeWK40pYXZJ7UN+x9aUF/Ob5PQwOBUn1T2rtT8zsaOxidXEOVxw/f8IeaZXVzcNTsANe5i98fkNHP2ctnxOXMYuIRGrMgMw5963wfTPLAW4CPgD8GvjWWK8TkZnhjy/uZXDI8c9vWM7KQ7YRWleaz8+e3s3mug6OW5iXmAGO0No9wKt727np/OXceN6yCc+vKC8k3e+jLxDEzIazaV39Abr6AxSrKayIJJlx/+trZgVm9v+AVwgFbyc55z6jGjKRmc05x90b9nD8wtmHBWNwoNt9skxbPr2zGefgrOVFEZ2/rjSfO6+vYGF+JosLMg+argQ1hRWR5DNmQGZm/wU8T2hV5bHOuS8755Ljp7OITMure9vZUt/JNV6Li0OVzM5kQV5m0hT2P7mjiVnpKRw/iWzdutJ83r5+EbuaemjuCjWD3e/1IJuron4RSTLjZcj+BZgP/Buwz8w6vFunmXXEZ3giEgt3b9hDeopvuMXFaNaV5rOhpgWXBO0vntzRSEV5ISmTrGc708uoPb0ztCKzvkMZMhFJTmP+dHPO+ZxzmSO3TvJuOdrHUmTm6hsc4k8v7eOyY0vIzUgd87x1pfk0dPSzt603jqM7XE1zN3taeiOerhzpuIV55GSk8OT2JmBEQKYaMhFJMsmxfEpE4ubHj+2ksy/A8Ytmj3teuO4q0dOWT+4IBVNnTiEg8/uM05cW8uSOJpxzNLT3kZORQlbaeAvMRUTiTwGZyFGkqqaV7z+8HYCv/33LuMHWquIcstP8CS/sf3J7EyWzMygvyp7S689cPoe9bb3sauqmoaNf05UikpQUkIkcRe56roagVxI2Ubf7FL+PExfnj7ofZLwMBR1P72zmzGVFmE1tq6OzloUya0/uaKK+o0+biotIUlJAJjLDVdW0cvMjOyacWhwcClK5sxkjsm73EJq23FLXwXce3JqQqcvX9rbT3js4penKsNLCLBbmZ/Lk9iYaFJCJSJJSIYXIDFZV08q7bq1kIBAkNcXH/7zrJPKyUnl2V8th3ex/8UwNe9v6+NylqwgE3YTd7gFmZ6bggB/8Ywc/ebyaO6+rmPA1kx1/ZXXzmGP5zYY9AORkTP1HlZlx5rIi/vpKHT2DQxTPVssLEUk+CshEZrDK6mb6A0EABgJBrvv5huHn0lN83OXt4djSPcB3H9rGWcuLuOHs8oin/zr6AgAE3YEpzmgFZFU1rbz9J88QCDoyUn2HBXtVNa38+rnXAfjYnS9MKxg8c3kRv34+FNyphkxEkpGmLEVmsIryQsKhVZrfOLksf/hxfyDIXc/WAPDtB7fSPTDEF69YM6larLOWz8HnnR7JFOdkVFY3E/AK2voGgzy1o3H4uWDQ8c37tkRc7zaR05cWEf7acxWQiUgSUkAmMoOtnZ+LGVSUF/CrG07js5euJj3Vh8/AgN+9sJcP/uw57qx8nYvXzmP5vMO3SRrPutJ8PnJOOQD/76pjojpdecKivIMeP7atif7AEP2BIT7xm5d4dlcLfp9FXO82noLsNJYUZgHQ1jMwnWGLiMSEpixFZrBNdR0EHXzgjCXDwdKd11VQWd3MSYvz+N+ndvPgpgYAHt68n6qa1kkHVR88s5wfPVZNbWt0G8Rmp4d+/Lz5hPnMzc3gJ49X845bKmns6Ke2rZfPXLKKU8ryqRylHm6yqmpaqWkJjf+Lf9rIsrk5UQ0uRUSmSwGZyAz22t52AI5dcKDJ67rS/OFg44XX23hocwPOQWBoajVgRbPSWbc4nwc3NfCJC1ZEbezb6jsBuOmCFZQVZWPAjx+vBiDVb5yypCD0XcoKpv1ZldXNw1tATfU6iIjEkqYsRWawV2rbKZqVRskYWwFVlBeSnuKb9rTfhWvmsXFfB7WtPdMZ7kG2NnSSkepjUUFoKjEnM3W4Xi0YdNOqGTtURXkhaVG4DiIisaIMmcgM9tredo5dMHvMQv11pfnDU5jTmfa7cM08/vPvW3hoUwPvP2PJdIY8bFtDJ8vn5uD3orBw0DTotfCIZtAUresgIhIrCshEZqjegSG2NXRy0Zp54543cgpzqsrnzGLZ3Fk8uDl6AdnW+k7OWj5n+HGsg6ZoXAcRkVhRQCYyQ22qayfo4NiFeXH5vAvXzOOWx6tp7xlkdlbqtN6rrWeA/Z39rCyeddBxBU0icrRSDZnIDPVq7eEF/bF04Zp5DAUdj2zdP+332tbQBcCKSbbhEBE5UikgE5mhXtnbzpycdOblxmcroBMW5pGXlcqPHt057X0ttzaEVlgqIBMRCVFAJjJDTVTQH20v7mmjsy/A1oZOrr2tclpB2bb6TnLSU8ZcHSoicrRRQCYyA/UMBNixvytu05UQ6uUV9PYyGpjmVkZbGzpZUZwTt2BSRCTZKSATmYE27Qt16D9uYfwCsnBPMwAzm3JbCucc2xo6NV0pIjJCzAIyM1tkZo+Y2SYz22hmN3nHC8zsQTPb7v2Z7x03M/u+me0ws1fM7KRYjU1kpnslzgX94LWluL6ChXmZlBVmRbQasqqmlZsf2XHQ9GZjZz9tPYOsnDdrnFeKiBxdYtn2IgD8i3PuBTPLAarM7EHg/cDDzrmvm9lngc8CnwEuBZZ7t1OBH3l/isghXtvbzrzcdObmxrcGa11pPm9Zt5Af/GP7qO0vqmpaqaxu5uSyfF58vY1v3LeFoIOMVB93XlfButL8Ayssi5UhExEJi1lA5pyrA+q8+51mthlYAFwJnOuddgfwKKGA7Erg5y604VylmeWZWYn3PnIUCP8yDzcFPfSxHPCKV9CfCGcsK+J7D2+nclczF68tHj5eVdPKu26tZCAQxB3ymnDN2brS/OEVlis1ZSkiMiwujWHNrAw4EXgWmDciyKoHwm3GFwB7Rrys1jumgOwoMPKXud9nXLB6Hg9tbiDoHGkpB7IrAt39AXY2dvHG4+Yn5PNPWJRHZqqfp3c0HRSQVVY30x8IDj8+e0URz+1qoW8wiHNwclno729bfSeF2WkUzopPuw4RkZkg5kX9ZjYL+B3wCedcx8jnvGzYof+Znuj9bjCzDWa2obGxMYojlUQK/zJ3QCDouG9jPYGgI+hgcJor+ma6Q+uw/vDCXpyDzLTErMlJS/Fx8pICnt558N/JSYvzhu9npPq46fwV3HldBVedMB8H1Lb2At4KS2XHREQOEtMMmZmlEgrG7nTO/d473BCeijSzEiDc9nsvsGjEyxd6xw7inLsFuAVg/fr1kwrmJHmVFWYBYEB6io/PXrqK//j7FgYCQZjGir5IJdP0aFVNK49s2U9Wup+Ne9v526v1o/6v5VsPbGNdaUFCxnv60kK+/vct7O/oG65ja+oaAOBt6xfy9pMXD4/rxEV5bG3o4vsPb+eNx89ne0Mn16xfNOZ7i4gcjWIWkFmowdDtwGbn3LdHPHUv8D7g696ffxpx/J/M7NeEivnbVT929Nhc14kBHz6nnAvXFLOuNJ9jF+bxxT+9xraGTubnxa54feR0aXpqYqdHq2paeac3FgCfHUghG7CoIIs9LT2hTOLQgbqseDtjaREAz1Q3c+UJCwC4e8MeFuRl8vWrj8PnO9BfzOczPnHBcj78iypufmQH3QNDypCJiBwilnMeZwDvAd5gZi95t8sIBWIXmtl24ALvMcDfgGpgB3Ar8LEYjk2SyFDQ8duqWs5ZOYfPXrp6OMBYV5rPT96zDsP47oPbY/b5ldVNw9Ol/YOJnR6trG4+KBh72/qFZKT68Bukp/r4yDlLSfcep6b4Yp45HMua+bnMzkzlqR1NAOxt6+XJHU28dd3Cg4KxsIvWzGPt/Fx++I8dAIdtKi4icrSL5SrLJwn9p340549yvgNujNV4JHk9sb2R+o4+vvTGNYc9tzA/i/ecVspPn9rFdWctYXkMMivBA3XoOGBRfmbUPyNSJy7KG76fluLjmvWLuWb94oOmU1cW5yR8etXvMyrKD9SR/XZDLc7BW9ctHPV8M+MTF6zg+p9vAKBnYChuYxURmQnUqV8S7p4NtRRkp3H+6nmjPn/jecvITkvhv+7fGvXP7ugb5BeVNZQXZfHRc5eSk+7n9qd2ExgKTvziGGjs6gfg7ScvGp46XVeaz43nLTsoczjycaKcsayI2tZeapq7uadqD2csK2RRQdaY5xdkpRLeKen6n2+Y9gblIiJHEgVkklAt3QM8sKmeq05YQFrK6P8cC7LT+PA55TywqYHP/+HVqP4i//YD22js6ue77ziRz1yyiv+4+jhe3tPGLU9UR+0zJuMPL+5lQV4m//nmYxMecE3k9KWh6dJvPbCN2tZe3jZBoX7lrpbhlPnRvnJWRORQCsgkof744l4GhxxvO3n0qa6wkxaHgpM7n32da2+rjEpQ9kptG3c8s5v3VpRy3MI8AK44roTLji3m2w9s49/v3RjXLM7+zj4e39bIVSfOH7UOK9ksnTOLuTnp3PvyPnIzUg7qSTaaivJC0lISX/8mIpKM4tIYVo5cW35/P61/f5D8Sy9k1dUXH/QYGPO5VVdfTNXuFn706A6WzslmVXHuuJ/z4p42jFCN12Bg+qsLn9/dwj/d9QJ5man8y8Urh4+bGdesW8jfXq3np0/v5lfPvc6d18dn1eW9L+0j6ODNJ44fnCYLM2NVcQ77O/s5fWkRGan+cc9fV5rPnddVJLz+TUQkGSkgkynb8vv7WfbWy/C7IMHbv01TyWKW172OzzmCt30LwzDcQc+Zc/T/7Afc9rXb+UZ7AYNDjtaeQapqWsf9BR3OrvQHgtg0+5JV1bTyjlsqGQo6Uv3G9oaugz57k9eCwwF9gSBP72yKS/Dwuxf2cvzC2SybOzNWIFbVtPKMN+34j637J/w7BIZr4kRE5GCaspQp2/en+/C5IAb4nCOluRmfc6HHgOEOe84HpA4FaPnrgwwOhTpsOecmrCdaV5rPXddXUDI7gwX5mdP6pf6Dh7czFAx9djB4+GdXlBeSnuobrnd6pbad0CLg2Nlc18Hmug6uPmlmZMcg1KIjfB2HhlQTJiIyHQrIZMpqjzuF/pQ0AuajLyWNp2/4FH3e4wF/CgP+1FGfG/SnUHzlJaSl+PBNop5oXWk+Hz13KTXNPWza1zHh+aP500t7eXRbIz5jzFqm8NTapy5eyZtPXMCDmxr40X/+kmeu/xRbfn8/EMoORvPxjx/bic9gceHYqxSTjWrCRESix2L9P/9YWr9+vduwYUOih5FUDt0CKJZbAt306xdpffgxPsoe8i+9aPI1ZFMYW0v3AKf+x0O8//QyPn/54X3LxvPTJ3fx1b9uYnVJDl+4Yg1VNW0TfrZzjq9+/nb+9esfDk3NmtE8bxGFDXtCU7PTeGzO0Z+Sxq1fuoVvd4U632ckeKeAyUqmLadERJKdmVU559aP9pxqyI4gI7cASvEZlx1Xwt9eqWPIOdJSovuL3jnHs9UtrD/vbE5710nDx1ddfTFcffGBE0fcP/S5qdQTFWSncd7KufzxpX185pJVpPgnTvI65/jvB7Zy8yM7Adi5v5tUv58bz1s24WvNjAv2bz5oajatteXA1Ow0H6cOBeh78B9w2tuA6CxYiCfVhImIRIemLI8g4W13HDAYdPzppX0MBh1BBwNR7vu0p6WX+o4+Tl1SELX3jNTVJy2gsbOfJ71te8ZSVdPKV/6ykcu//8RwMAYwOMl6p4LLLjpoavaFj31mePp1uo8H/SmUv/Vy0jX1JyJyVFOG7AiyvjR/eCPq9BQfn7xwBd9+cFton0Z38LY80/XsrlBAc2oCgofzVs1ldmYqf3hxL+eunDvqOVW7W3j7LZUEvKLzq06Yz30b6xkMBCcd9Ky6+mK2/Obe4enWN1x9MVvOPDlqj9969cUs0dSfiMhRTTVkR5D7XqvjI798gbectIB3nVo6XEN294Y9/Ob5PXzgjDK+9Ma1Ufms/3vPyzy0uYGqf7swIU1M/+2Pr3L383v46LlLOXvF3MOCmM/87hV+8/weIFS8/8mLVlJRXqigR0REEkY1ZEeJuzfUUpybwTffejx+L0gK1/hkpPj46VO7uWRtcVSyWs/uauGUJQUJ6yi/pmQ2A0Ov8/2Hd/CTx6sPq4+rbe0FDl5JqXonERFJVqohO0I0dPTx6Nb9vGXdguFgbKTPXLqKxQVZfPxXL/Ldh7ZNa0uguvZeXm/p4ZQliat1au0JbcI9snN/WHNXP8/tauayY4v55EUrZ9SqRREROTopIDtC/O6FWoIOrlk3+gbPWWkp3HBWOQ2d/Xz3oe3T2g/yuV0tAAkp6A+rKC8i1R8KPH2+gzv3/7aqlsEhx/+5YAU3nrdMwZiIiCQ9BWRHAOcc92yo5ZQlBZQVZY95Xnvf4PD9Q7NKk/HsrhZy0lNYXTL+/pOxFO7cX5CdSklu5vCChWDQ8avnXueUsgKWz8tJ2PhEREQmQwHZEeD53a3saurmbetHz46FVZQXkub17To0qzQZz1Y3s74sf9Sp0Xg6uayAL71xLa+39vC31+oAeHpnM7ube3jXqYsTOjYREZHJUEB2BLh7wx6y0/xcdmzxuOetK83nzutPJSvNz8llBVOaymvq6mdnY3dC2l2M5orj5rNs7iy+91Bof8q7nqshPyuVS44Z/1qIiIgkEwVko6iqaeXmR3YM11gd+jiZPLmjiT++uJfTlhaSlTbxotmTywq48oQFvLSnjb7BoUl/Xrh+7JQE1o+N5PcZN52/nO37u7jj6d08sLGBt5y0kIxUf6KHJiIiEjG1vThEePuh/kAQn0FpYRY1zT0EXajZ6l3XJ8+KvaqaVj7w0+cIBB2Pb2+iqqY1orFdckwxv3rudZ7Y3sSFa+ZN6jP/8so+UnxGYCg41WFH3eXHlvCDf2znK3/ZBMBxi2YneEQiIiKTowzZISqrm+gPhIKNoIPmrgG8Zu/0R3n7oemqrG5mcCg0uKFJbAd0WnkhuRkp3Pda/aQ+r6qmlb+/Wk8g6Hjv/z6XNBlDn89443Hzhx9/+revJM3YREREIqGA7FBe8GVARqqPz166moxUH+Hy9ZQ4FLJHOkV6zPzQKkdjcnsgpqX4uGD1PB7a3MBghJmu+vY+Pvf7V4a3ZprOKs1YMGP47yjZxiYiIjIRTVmO0NUf4OeVNZQVZvGWdQs5fWkR60rzWVmcw1M7mvhdVS23P7mLt5+8iLystJiMoaqmlXfeWklgKEhaim/cpqYNHaHmqO+pKOXKExdMair1kmOK+f2Le6msbuas5XPGPO/53S386NGdPLOzmUAwSIrPcM4l3SbYpy0tIj11x5T2qhQREUk0BWQjfOuBrezv7Of3Hz2dExcfCG7CW+68YdVcrrr5Kf79z5v4zttPiMkY/vDiXga8KdMBL9MzVqD1l1frWFyQxb9fuRazyWXuzl4xh6w0P/e9Vj9mQFa1u4W3/+QZgg58Bj9454kUz85Myv0g15Xmc+d1FUk5NhERkYkoIPPcs2EPP3tqNxetnXdQMDbSMQtmc+N5y/jew9txzvGe08qi+ovfOceLr7cMPw660FThht0tPLur5aBAo7V7gKd2NHHD2eWTDsYAMlL9nLdyLvdvbOArVx4zak+xv75WN1w/Z8Du5h4uP25+0gY72qtSRERmKtWQEZqW+/TvQvVRj25tHLd26/SlhRjwx5f2ce2tU99+aDSPbWtk475OPnRGGR9/wzIqygv4RWUNb/vJM3zrga0HbXd0/8Z6hoKOy48tmfLnXXxMMU1d/Xzhj6+N+j36B0OZOp9NrkZNREREJueIDcgm0zvs1sercV4mKDDBasUNNa2EE1LRXHUZDDq+cd9WFhVk8plLV/PJi1byq+sruGD1XIIulC0bWaz+11frKCvMYu38qW9fVJAdqoP71XOvj7q35aa6DsqLsvkXbdAtIiISU0fklOVzu5p5+y2VOBdaFXnLe9cxOzNt1Pqijr5BKqub8VlkqxUrygtJS/HRNxjEAetK86Iy5ntf3sfmug6+944TSEsJxclmxkfPXcZj2xpD7S0stN1RS/cAT+9s5sNTnK4Me3lPGxBaWDp4SL3a/o4+XtrTNrxBt4iIiMTOERmQ3TIy4xV0fPBnGwiXSB26cvEHD2+nsz/AN99yHPs7+ycsCA8Xj//6+de5Z0Mtu5t6qCif3ngHAkG+9eBW1pTkHtRPK/x5v77hNL7y5428XNvO3rZetjV0hqYrj5v6dCUc2NtyYCh42N6WD23ej3Nw0drJNY4VERGRyTvipizbegaGM15+C3XXX1OSOzztNzBi2q+6sYufPb2bt61bxDXrF3HjecsimpZbV5rPN99yHMcumM2PH9vJULjyfYq+8ffN7Gnp5S3rFuAbpbh+XWk+93zkdE4uy+fTv32Zmx/ZQX5WKn0Dk9/66ND3vev6U8nPSmVJUfZB3/3BTfUsKshk5bycaX2GiIiITOyIC8i++9B2egaG+O9rjueTF63krusr+OpVx5DuTQMGHRTOCtVOfe2vm0lP8fOpi1dO+nPMjI+du5TdzT387dW6KY/3oU0N3P7UbgD+6/6tY9a8paX4+J9r15GVmkJtay9tPYNce/uz015UsL6sgI+fv5xtDV28UtsGQHd/gKd2NnPh6uJpTYmKiIhIZI6ogGzH/k5+UVnDO09ZzNUnLRzOeIUyQRV8+Jxy5uWk87W/bOZf//AqD2/Zz5tPXMCcnPQpfd7Fa4spn5PN/zy6E+cmnyULBh1f9fZfhIk7zM/JSR+epnQRnB+pt6xbSFaanzuergHg8W2NDASCmq4UERGJkyMmIHPO8ZW/bCYrzc8nL1xx2PPrSvP53KWr+cONZ5CV5ueuZ18H4J6qPVPOMvl8xkfPWcrmug4+dc/Lk36fHz22k5qWHlL9hj/C1hJXnbiAjFRfxOdHIjcjlbectJA/v7KP5q5+HtjUQF5WKuu1qlJERCQujpiA7NYnqnl8WyNvOWkBhbPGznjNz8vkzSctGH483SzT4oIsAH73wl7eNYm+ZFU1LXz7wW288fj5/Pr6Cj4ZYWuJ8KKCSM+P1HtPK2UgEOSXla/zjy37ecOquaT4j5h/HiIiIkntiFhl+ZPHdvKff98CwK+f38Mbjx9/X8cL1xTzs6d3R2Xfww01rRihKcT+QJAv/PFVPpfXRsqTj5N/6YWsuvpitvz+flr//uDw48e3NvJPv3qBouw0vvbmY8jNSGVdWUHEnxmLjvTL5+VwxrJCfvDIdgJDjmVzZkX1/UVERGRsMzog29/Zzz/d9QJ/eeVAUf2h/bRGE819DyvKC0lP9TEYCIIZ2VXPc9ovP43fBQne/m1qCuezvHkf5hz9P/sBH7vhW/w9ZwkO6AsE2d7QlTQNV89YVsRTO0LZwu8/vJ1TtSekiIhIXMzoOamGjj7+8kodFeUFk66rWleaH3Gbi4neJzyFePeHT+Of/XvxuSAG+Jwjr6sdn3P4gNShACu3vEC4/H9ogl0B4i04on3HYJKNTURE5Eg2owMyCO2zeNbyOTGpq4rUyOBu7hsvpj8ljYD56EtJY8snPk+f93jQn8Lqd74x6kX50XLa0iLSU5JzbCIiIkcym0q7hmSRXrLcLbnu+0m3z+KhNWOHPq6qaY3KdGksJPPYREREZjIzq3LOrR/1uVgFZGb2v8AVwH7n3DHesQLgN0AZsBt4m3Ou1ULdR78HXAb0AO93zr0w0WcsXnms+8MDjytwEBERkaQ3XkAWyynLnwGXHHLss8DDzrnlwMPeY4BLgeXe7QbgR5F8wNycdAVjIiIiMuPFLCBzzj0OtBxy+ErgDu/+HcBVI47/3IVUAnlmNr2ds0VERERmiHgX9c9zzoV7VNQD4b15FgB7RpxX6x0TEREROeIlbJWlCxWvTbqAzcxuMLMNZrahsbExBiMTERERia94B2QN4alI78/93vG9wKIR5y30jh3GOXeLc269c279nDlzYjpYERERkXiId0B2L/A+7/77gD+NOP5eC6kA2kdMbYqIiIgc0WK2dZKZ/Qo4Fygys1rgS8DXgbvN7ENADfA27/S/EWp5sYNQ24sPxGpcIiIiIskmZgGZc+6dYzx1/ijnOuDGWI1FREREJJnN+K2TRERERGY6BWQiIiIiCTaj97I0s05ga6LHMUWzgfZED2KKioCmRA9iimbqddc1Twxd98TQdY8/XfP4KHXOjdoiImY1ZHGydaw9oZKdmd3inLsh0eOYCjPboOseX7rmiaHrnhi67vGna554mrJMnD8negBHKV33+NM1Twxd98TQdY+/I+KaKyBLEOfcEfEPaKbRdY8/XfPE0HVPDF33+DtSrvlMD8huSfQAjlK67vGna54Yuu6Joesef7rmCTaji/pFREREjgQzPUMmIiIiMuMlXUBmZv9rZvvN7LURx443s2fM7FUz+7OZ5R7ymsVm1mVmnxpx7CYze83MNprZJ+L4FWacyVxzMyszs14ze8m7/XjEa75mZnvMrCsR32OmieJ1v8/MXvb+rf/YzPyJ+D4zQRSv+aNmtnXEc3MT8X1mimhcdzPLGXHsJTNrMrPvJugrzQhR/Pf+djN7xfsZ841EfJejgnMuqW7A2cBJwGsjjj0PnOPd/yDw1UNe81vgHuBT3uNjgNeALEKtPR4CliX6uyXrbTLXHCgbed4h71MBlABdif5OM+EWxeue6/1pwO+AdyT6uyXrLYrX/FFgfaK/z0y5Reu6H/KeVcDZif5uyXyLxnUHCoHXgTne4zuA8xP93Y7EW9JlyJxzjwMthxxeATzu3X8QeEv4CTO7CtgFbBxx/mrgWedcj3MuADwGXB2rMc90k73m47xPpXOuLsrDO2JF8bp3eHdTgDRAhaFjiNY1l8mJ9nU3sxXAXOCJqAzwCBWl614ObHfONXqPH4rgNTIFSReQjWEjcKV3/xpgEYCZzQI+A/z7Iee/BpxlZoVmlgVcFn6NRGzUa+5ZYmYvmtljZnZW/Id2RJvSdTez+4H9QCehjLFEbqr/1n/qTe18wcwsLiM9skznZ8w7gN84L2UjkzLZ674DWOlNaaYAV6HfpzExUwKyDwIfM7MqIAcY8I5/GfiOc+6gmiXn3GbgG8ADwH3AS8BQvAZ7hBjrmtcBi51zJwKfBO6yQ2r6ZFqmdN2dcxcTmi5OB94Q3yHPeFO55tc6544FzvJu74nzmI8E0/kZ8w7gV3Eb6ZFlUtfdOdcKfBT4DaGM5G70+zQmZsTWSc65LcBFMJyqvtx76lTgrWb2TSAPCJpZn3Puh86524Hbvdf8B1Ab94HPYGNdc+dcP9Dv3a8ys52EUuAbEjTUI8p0rrtzrs/M/kTof78PxnnoM9ZUrrlzbq93vNPM7gJOAX6egOHPWFP9t25mxwMpzrmqRIx7ppviv/c/43XDN7MbUEAWEzMiQxZewWRmPuDfgB8DOOfOcs6VOefKgO8C/+Gc++Ehr1lMqH7srviPfOYa65qb2ZzwKj4zKweWA9WJGueRZrLX3cxmmVmJdzyF0A/XLYkY+0w1hWueYmZF3vFU4ApCZRIyCdP4GfNOlB2bsqlc9xGvyQc+BtwW/5Ef+ZIuQ2ZmvwLOBYrMrBb4EjDLzG70Tvk98NMI3up3ZlYIDAI3OufaYjDcI8Ikr/nZwFfMbBAIAh9xzrV47/NN4F1Alvc+tznnvhy3LzLDROO6m9k84F4zSyf0H6xH8H7AyuGidM2zgfu9YMxPqMj51jh+jRknWj9jPG8jVBcsE4jidf+el5kE+IpzbltcvsBRRp36RURERBJsRkxZioiIiBzJFJCJiIiIJJgCMhEREZEEU0AmIiIikmAKyEREREQSTAGZiBzxLLSN2kverd7M9nr3u8zsfxI9PhERtb0QkaOKmX0Z6HLO/XeixyIiEqYMmYgctczsXDP7i3f/y2Z2h5k9YWY1Zna1mX3TzF41s/u8RrCY2Tpv8+UqM7s/vFOCiMh0KCATETlgKaHN2d8E/BJ4xNtEvBe43AvKfgC81Tm3Dvhf4GuJGqyIHDmSbuskEZEE+rtzbtDMXiW0LdJ93vFXgTJgJXAM8KCZ4Z1Tl4BxisgRRgGZiMgB/QDOuaCZDboDRbZBQj8vDdjonDstUQMUkSOTpixFRCK3FZhjZqcBmFmqma1N8JhE5AiggExEJELOuQHgrcA3zOxl4CXg9IQOSkSOCGp7ISIiIpJgypCJiIiIJJgCMhEREZEEU0AmIiIikmAKyEREREQSTAGZiIiISIIpIBMRERFJMAVkIiIiIgmmgExEREQkwf4/gssKYebDvRgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the backfill method\n",
    "df_imputed = df.bfill()\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Air passengers\")\n",
    "ax.set_ylabel(\"Number of passengers\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "fsml",
   "language": "python",
   "name": "fsml"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
